211111111122000 has 320 divisors, whose sum is σ = 702639411961344. Its totient is φ = 54490956595200.

The previous prime is 211111111121917. The next prime is 211111111122013. The reversal of 211111111122000 is 221111111112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40382397 + ... + 45309603.

Almost surely, 2^{211111111122000} is an apocalyptic number.

211111111122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111111122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351319705980672).

211111111122000 is an abundant number, since it is smaller than the sum of its proper divisors (491528300839344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211111111122000 is a wasteful number, since it uses less digits than its factorization.

211111111122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927463 (or 4927447 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211111111122000 its reverse (221111111112), we get a palindrome (211332222233112).

It can be divided in two parts, 211111 and 111122000, that added together give a palindrome (111333111).

The spelling of 211111111122000 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-two thousand".